NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 01:58 It is currently 26 Apr 2024, 01:58
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If p, q, and r are the degree measures of the three angles of an isosc

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619094 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   24 Aug 2017, 23:52
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (00:37) correct 7% (00:33) wrong based on 62 sessions
Hide Show timer Statistics
If p, q, and r are the degree measures of the three angles of an isosceles triangle and p = 100, then p – q =

(A) 20
(B) 40
(C) 50
(D) 60
(E) 80
ShowHide Answer
Official Answer
D
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5206 [0]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   25 Aug 2017, 00:32
If p, q, and r are the degree measures of the three angles
of an isosceles triangle and p = 100, the side opposite to the angle p is unequal.
We cannot a sum of three angles greater than 180.

Let the 2 other angles, q = r = x(opposite to the equal sides)

p + 2x = 180 => 2x = 180 - (p=100)
Therefore q = r = 40 and p – q = 100 - 40 = 60(Option D)
avatar
B
divyam16
Intern
Intern
Joined: 07 Jul 2017
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 1
Send PM
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   25 Aug 2017, 00:48
Answer should be (D), reverse engineering method solves quick
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2461
Own Kudos [?]: 1360 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   26 Aug 2017, 19:20
Bunuel wrote:
If p, q, and r are the degree measures of the three angles of an isosceles triangle and p = 100, then p – q =

(A) 20
(B) 40
(C) 50
(D) 60
(E) 80



The sum of angles can't exceed 180. This implies the q= r =40

p - q = 100 - 40 =60

Answer: D
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   29 Aug 2017, 17:34
Expert Reply
Bunuel wrote:
If p, q, and r are the degree measures of the three angles of an isosceles triangle and p = 100, then p – q =

(A) 20
(B) 40
(C) 50
(D) 60
(E) 80


Since a triangle cannot have two interior angles of 100 degrees and since p = 100, the other two angles are equal to each other and they sum to 80 degrees. Therefore, they must be 40 degrees each; thus, p - q = 100 - 40 = 60.

Answer: D
User avatar
B
SaGa
Intern
Intern
Joined: 15 Mar 2017
Posts: 27
Own Kudos [?]: 221 [0]
Given Kudos: 39
Location: India
Concentration: International Business, Strategy
Schools: Kellogg '20 ISB '20 Tuck '20
GMAT 1: 720 Q50 V37
GPA: 4
Send PM
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink] New post   29 Aug 2017, 21:36
The third angle r will be either equal to p or q to be isosceles.
If r=p the sum of angle would exceed 180.
therefore q=r
Solving p + q + r= 180 we get q = r = 40

Hence p - q = 60
GMAT Club Bot
gmatclubot
Re: If p, q, and r are the degree measures of the three angles of an isosc [#permalink]
29 Aug 2017, 21:36
Moderators:
Bunuel
Math Expert
92921 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions